{
  "annotation_id": "0438c0cd-22ad-42f0-8810-2b97729b6024",
  "date_created": "2026-03-02T18:02:20.735000Z",
  "date_modified": "2026-03-02T18:02:20.735000Z",
  "file_hash": "e8e91b7618d6d5e86ef34f82b1b4e5eb9f30845b1462565bb52e42049cf6fc4d",
  "private": false,
  "record": {
    "abstract": "The Schrodinger equation for an electron near an azimuthally symmetric curved\nsurface $\\Sigma$ in the presence of an arbitrary uniform magnetic field\n$\\mathbf B$ is developed. A thin layer quantization procedure is implemented to\nbring the electron onto $\\Sigma$, leading to the well known geometric potential\n$V_C \\propto h^2-k$ and a second potential that couples $A_N$, the component of\n$\\mathbf A$ normal to $\\Sigma$ to mean surface curvature, as well as a term\ndependent on the normal derivative of\n  $A_N$ evaluated on $\\Sigma$. Numerical results in the form of ground state\nenergies as a function of the applied field in several orientations are\npresented for a toroidal model.",
    "arxiv_id": "quant-ph/0510103",
    "authors": [
      "M. Encinosa"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.73.012102",
    "title": "Coupling curvature to a uniform magnetic field; an analytic and   numerical study",
    "url": "https://arxiv.org/abs/quant-ph/0510103"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "71a27eda-8072-4f66-b41b-ad0d99ce6cf5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}